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GCF of 7133/210, 3407/8949

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7133/210, 3407/8949 i.e 1/626430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7133/210, 3407/8949.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 7133/210,3407/8949?

Given fractions are 7133/210,3407/8949

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7133/210,3407/8949, numerators are 7133,3407

Denominators are 210,8949

The GCF of 7133,3407 is 1 .

LCM of 210,8949 is 626430.

The greatest common factor of 7133/210,3407/8949 = [GCF of 7133,3407]/[LCM of 210,8949]= 1/626430

Therefore, the GCF of 7133/210,3407/8949 is 1/626430.

Greatest Common Factor of 7133,3407

To find the highest common factor of 7133,3407, we have to find the factors of both numbers and list the highest common factor.

The factors of 7133 are 1, 7, 1019, 7133

The factors of 3407 are 1, 3407

The HCF of 7133,3407 is 1.

Lets's calculate GCF of 7133,3407

Greatest Common Factor (GCF) of 7133,3407 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7133,3407 By Matching Biggest Common Factor Method

Greatest Common Factor of 7133,3407 By Matching Biggest Common Factor Method

Now, list down the factors of 7133

:

1,7,1019,7133

Now, list down the factors of 3407

:

1,3407

Greatest Common Factor

We found the factors 7133,3407 . The biggest common factor number is the GCF number.
So the greatest common factor 7133,3407 is 1.

Lets's calculate LCM of 210,8949

Lowest Common Multiple of 210,8949 using Common Division

3 210, 8949
70, 2983

∴ So the LCM of the given numbers is 3 x 70 x 2983 = 626430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/626430

Therefore, the GCF of Fractions 7133/210,3407/8949 is 1/626430

Least Common Multiple of 210,8949 with GCF Formula

Least Common Multiple of 210,8949 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 210,8949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,8949) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(210,8949) x common factors =3 x 1 = 3

LCM(210,8949) = ( 210 × 8949 ) / 3

LCM(210,8949) = 1879290 / 3

LCM(210,8949) = 626430


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7133/210, 3407/8949

1. What is the HCF of 7133,3407?

The HCF of 7133,3407 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 7133/210, 3407/8949?

Answer: GCF of Numerators as per given numbers 7133/210, 3407/8949 is

GCF of Numerators i.e. for 7133,3407 is 1

LCM of denominators i.e. for 210,8949 is 626430.

Thus, GCF of Fractions is 1/626430.Finally, GCF of Fractions for 7133/210, 3407/8949 is 1/626430.